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Finding the Third Proportional to 30,701.53 and 43,489.41

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Solution

The third proportional to 30,701.53 and 43,489.41 is: 61,603.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.53 : 43,489.41 = 43,489.41 : x
  2. Step 2: Convert to fraction form
    30,701.53/43,489.41 = 43,489.41/x
  3. Step 3: Cross multiply
    30,701.53x = 43,489.41 × 43,489.41
  4. Step 4: Simplify right side
    30,701.53x = 1,891,328,455.98
  5. Step 5: Solve for x
    x = 1,891,328,455.98/30,701.53
  6. Step 6: Final answer
    x = 61,603.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.